Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952ey |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-60173358465024 = -1 · 219 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7917,256466] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1728:1] [-14:378:1] |
Generators of the group modulo torsion |
j |
53582633/58752 |
j-invariant |
L |
10.476895074267 |
L(r)(E,1)/r! |
Ω |
0.41446271739772 |
Real period |
R |
0.78994553000714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994w1 39984cb1 119952gg1 |
Quadratic twists by: -4 -3 -7 |